Advances in Distribution Theory, Order Statistics, and Inference

N. Balakrishnan, Enrique Castillo, José Maria Sarabia - Collection Statistics for industry and technology

490 pages, parution le 31/05/2005

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Résumé

Barry Arnold has made fundamental contributions to many different areas of statistics, including distribution theory, Bayesian inference, multivariate analysis, bounds and orderings, and characterization problems. Organized to honor Arnold's significant contributions to the field, this volume is an outgrowth of the "International Conference on Distribution Theory, Order Statistics, and Inference," held at the University of Cantabria, Santander, Spain.

Several distinguished and active researchers highlight some of the recent developments in statistical distribution theory, order statistics and their properties, as well as inferential methods associated with them. Applications to survival analysis, reliability, quality control, and environmental problems are emphasized. The volume is classified into the following five parts, according to the focus of the articles:

Discrete distributions and applications
Continuous distributions and applications
Order statistics and applications
Reliability and applications
Inference

This comprehensive reference work will serve the statistical and applied mathematics communities, as well as practitioners, researchers, and graduate students in applied probability and statistics, reliability engineering, and biostatistics.

Written for: Practitioners, researchers, and graduate students in applied probability and statistics, reliability engineering, and biostatistics

L'auteur - N. Balakrishnan

Editor; professor in the department of mathematics and statistics at Mc Master university, Hamilton, Ontario, Canada.

L'auteur - Enrique Castillo

ENRIQUE CASTILLO is Professor of Applied Mathematics at the University of Cantabria in Santander (Spain). He is a mathematician and a civil engineer and Member of the Spanish Royal Academy of Engineering. He has taught at several other universities in the Europe and America. He is author of 25 books in English and in Spanish.

Sommaire

Discrete Distributions and Applications
- Stochastic Comparisons of Bernoulli Sums and Binomial Random Variables
- Stopped Compound Poisson Process and Related Distributions
- Constructions of Discrete Bvariate Dstributions
Continuous Distributions and Applications
- The Normal-Laplace Distribution and Its Relatives
- Some Observations on a Simple Means of Generating Skew Distributions
- Bivariate Distributions Based on the Generalized Three-Parameter Beta Distribution
- A Kotz-Type Distribution for Multivariate Statistical Inference
- Range of Correlation Matrices for Dependent Random Variables with Given Marginal Distributions
- Multifractional Probabilistic Laws
Order Statistics and Applications
- Topics in the History of Order Statistics
- Order Statistics from Independent Exponential Random Variables and the Sum of the Top Order Statistics
- Fisher Information and Tukey's Linear Sensitivity Measure Based on Ordered Ranked Set Samples
- Information Measures for Pareto Distributions and Order Statistics
- Confidence Coefficients of Interpolated Nonparametric Sign Intervals for Medians Under No or Weak Shape Assumptions
- : Small Sample Asymptotics for Higher-Order Spacings
- Best Bounds on Expectations of L-Statistics from Bounded Samples
Reliability and Applications
- The Failure Rates of Mixtures
- Characterizations of the Relative Behavior of Two Systems via Properties of Their Signature Vectors
- Systems with Exchangeable Components and Gumbel Exponential Distribution
- Estimating the Mean of Exponential Distribution from Step-Stress Life Test Data
- Random Stress-Dependent Strength Models Through Exponential Conditionals Distributions
Inference
- Some New Methods for Local Sensitivity Analysis in Statistics
- t-Tests with Models Close to the Normal Distribution
- Computational Aspect of the Chi-Square Goodness-of-Fit Test Applications
- An Objective Bayesian Procedure for Variable Selection in Regression
- On Bayesian and Decision-Theoretic Approaches to Statistical Prediction
- Phi-Divergence-Type Test for Positive Dependence Alternatives in 2 x k Contingency Tables
- Dimension Reduction in Multivariate Time Series
- The Hat Problem and Some Variations

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Caractéristiques techniques

	PAPIER
Éditeur(s)	Birkhäuser
Auteur(s)	N. Balakrishnan, Enrique Castillo, José Maria Sarabia
Collection	Statistics for industry and technology
Parution	31/05/2005
Nb. de pages	490
Format	18,5 x 26
Couverture	Relié
Poids	1100g
Intérieur	Noir et Blanc
EAN13	9780817643614
ISBN13	978-0-8176-4361-4